| Singularities of flat fronts in hyperbolic space M Kokubu, W Rossman, K Saji, M Umehara, K Yamada Pacific journal of mathematics 221 (2), 303-351, 2005 | 274 | 2005 |
| The geometry of fronts K Saji, M Umehara, K Yamada Annals of mathematics, 491-529, 2009 | 227 | 2009 |
| Complete surfaces of constant mean curvature-1 in the hyperbolic 3-space M Umehara, K Yamada Annals of mathematics 137 (3), 611-638, 1993 | 205 | 1993 |
| Singularities of maximal surfaces S Fujimori, K Saji, M Umehara, K Yamada Mathematische Zeitschrift 259 (4), 827-848, 2008 | 174 | 2008 |
| Maximal surfaces with singularities in Minkowski space M Umehara, K Yamada Hokkaido mathematical journal 35 (1), 13-40, 2006 | 151 | 2006 |
| Flat fronts in hyperbolic 3-space M Kokubu, M Umehara, K Yamada Pacific journal of mathematics 216 (1), 149-175, 2004 | 89 | 2004 |
| A parametrization of the Weierstrass formulae and perturbation of complete minimal surfaces in R3 into the hyperbolic 3-space. M Umehara, K Yamada Walter de Gruyter, Berlin/New York 1992 (432), 93-116, 1992 | 87 | 1992 |
| Surfaces of constant mean curvaturec inH 3(−c 2) with prescribed hyperbolic Gauss map M Umehara, K Yamada Mathematische Annalen 304, 203-224, 1996 | 85 | 1996 |
| Ak singlarities of wave fronts K Saji, M Umehara, K Yamada Mathematical Proceedings of the Cambridge Philosophical Society 146 (3), 731-746, 2009 | 78 | 2009 |
| Metrics of constant curvature 1 with three conical singularities on the -sphere M Umehara, K Yamada Illinois Journal of Mathematics 44 (1), 72-94, 2000 | 74 | 2000 |
| Behavior of Gaussian curvature and mean curvature near non-degenerate singular points on wave fronts LF Martins, K Saji, M Umehara, K Yamada Geometry and Topology of Manifolds: 10th China-Japan Conference 2014, 247-281, 2016 | 73 | 2016 |
| Flat fronts in hyperbolic 3-space and their caustics M Kokubu, W Rossman, M Umehara, K Yamada Journal of the Mathematical Society of Japan 59 (1), 265-299, 2007 | 70 | 2007 |
| Irreducible constant mean curvature 1 surfaces in hyperbolic space with positive genus W Rossman, M Umehara, K Yamada Tohoku Mathematical Journal, Second Series 49 (4), 449-484, 1997 | 63 | 1997 |
| A duality on $ CMC $-1 surfaces in hyperbolic space, and a hyperbolic analogue of the Osserman Inequality M Umehara, K Yamada Tsukuba journal of mathematics 21 (1), 229-237, 1997 | 62 | 1997 |
| An elementary proof of Small's formula for null curves in and an analogue for Legendrian curves in M Kokubu, M Umehara, K Yamada | 51 | 2003 |
| Intrinsic invariants of cross caps M Hasegawa, A Honda, K Naokawa, M Umehara, K Yamada Selecta Mathematica 20, 769-785, 2014 | 48 | 2014 |
| Intrinsic properties of surfaces with singularities M Hasegawa, A Honda, K Naokawa, K Saji, M Umehara, K Yamada International Journal of Mathematics 26 (04), 1540008, 2015 | 47 | 2015 |
| Zero mean curvature surfaces in Lorentz-Minkowski 3-space and 2-dimensional fluid mechanics S Fujimori, YW Kim, SE Koh, W Rossman, H Shin, M Umehara, K Yamada, ... arXiv preprint arXiv:1309.2459, 2013 | 47 | 2013 |
| Coherent tangent bundles and Gauss–Bonnet formulas for wave fronts K Saji, M Umehara, K Yamada Journal of Geometric Analysis 22 (2), 383-409, 2012 | 46 | 2012 |
| Differential geometry of curves and surfaces M Umehara, K Yamada | 42 | 2017 |
